scientific article; zbMATH DE number 7203461

zbMath1440.05234MaRDI QIDQ5111001

Seung Jin Lee

Publication date: 26 May 2020

Full work available at URL: https://dmtcs.episciences.org/6326

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

affine flag varietyMurnaghan-Nakayama ruleaffine nilCoxeter algebra\(k\)-Schur functionaffine Fomin-Kirillov algebraaffine Schubert polynomials

Mathematics Subject Classification ID

Classical problems, Schubert calculus (14N15) Combinatorial aspects of algebraic geometry (05E14)

Cites Work

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• Schur times Schubert via the Fomin-Kirillov algebra
• Affine nil-Hecke algebras and braided differential structure on affine Weyl groups.
• The Murnaghan-Nakayama rule for \(k\)-Schur functions
• The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\)
• Schubert polynomials and the nilCoxeter algebra
• Positivity in equivariant Schubert calculus.
• Noncommutative algebras related with Schubert calculus on Coxeter groups
• A \(k\)-tableau characterization of \(k\)-Schur functions
• Tableaux on \(k+1\)-cores, reduced words for affine permutations, and \(k\)-Schur expansions
• A note on quantization operators on Nichols algebra model for Schubert calculus on Weyl groups.
• Nichols-Woronowicz model of coinvariant algebra of complex reflection groups.
• Pieri operators on the affine nilCoxeter algebra
• Affine insertion and Pieri rules for the affine Grassmannian
• Affine Stanley symmetric functions
• The poset of $k$-shapes and branching rules for $k$-Schur functions
• Schubert polynomials for the affine Grassmannian
• Quantum cohomology and the 𝑘-Schur basis

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